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Finding the Fourth Proportional to 122,709.68, 169,282.49 and 71,724.56

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Solution

The fourth proportional to 122,709.68, 169,282.49 and 71,724.56 is: 98,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,709.68 : 169,282.49 = 71,724.56 : x
  2. Step 2: Convert to fraction form
    122,709.68/169,282.49 = 71,724.56/x
  3. Step 3: Cross multiply
    122,709.68x = 169,282.49 × 71,724.56
  4. Step 4: Simplify right side
    122,709.68x = 12,141,712,713.47
  5. Step 5: Solve for x
    x = 12,141,712,713.47/122,709.68
  6. Step 6: Final answer
    x = 98,946.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.